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18280512 = 263371149
BaseRepresentation
bin100010110111…
…1000001000000
31021101202011000
41011233001000
514134434022
61451452000
7311244645
oct105570100
937352130
1018280512
11a356468
126157000
133a30893
1425dbdcc
1519116ac
hex116f040

18280512 has 112 divisors (see below), whose sum is σ = 54864000. Its totient is φ = 5967360.

The previous prime is 18280487. The next prime is 18280517. The reversal of 18280512 is 21508281.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18280517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122614 + ... + 122762.

Almost surely, 218280512 is an apocalyptic number.

18280512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432000).

18280512 is an abundant number, since it is smaller than the sum of its proper divisors (36583488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18280512 is a wasteful number, since it uses less digits than its factorization.

18280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 18280512 is about 4275.5715407417. The cubic root of 18280512 is about 263.4285158598.

Adding to 18280512 its reverse (21508281), we get a palindrome (39788793).

The spelling of 18280512 in words is "eighteen million, two hundred eighty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 142 144 149 192 213 216 284 288 298 426 432 447 568 576 596 639 852 864 894 1136 1192 1278 1341 1704 1728 1788 1917 2272 2384 2556 2682 3408 3576 3834 4023 4544 4768 5112 5364 6816 7152 7668 8046 9536 10224 10579 10728 13632 14304 15336 16092 20448 21158 21456 28608 30672 31737 32184 40896 42316 42912 61344 63474 64368 84632 85824 95211 122688 126948 128736 169264 190422 253896 257472 285633 338528 380844 507792 571266 677056 761688 1015584 1142532 1523376 2031168 2285064 3046752 4570128 6093504 9140256 18280512